For questions involving the application of the program Maple to mathematics. NOTE: questions which focus primarily on the program Maple and not on its applications to mathematics are not appropriate for this site.

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18 views

Find the maximum distance from origin to the surface?

I am having trouble with this problem... I need to find the maximum distance from the origin to the surface $$f:=\frac{x^4}{2^4}+\frac{y^4}{3^4}+\frac{z^4}{(\sqrt2)^4}-1$$ I think I have to use ...
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0answers
17 views

Triple sum on Maple

I'm new to Maple and having a problem indexing a triple sum. It's a solution for an EDP and it's like the first image.: $\eta$, $\mu$, and $\beta$ are eigenvalues, but just $\mu$ is transcendental ...
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2answers
18 views

Maple complex exponential form to algebraic.

How can I easily convert complex number from exponential or trigonometric form to algebraic? Update In fact I'm trying to simplify this expression: The only way I see is to convert to ...
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1answer
16 views

Maple: How to use partial differential operators?

I am trying to calculate the commutator $[v,w]=vw-wv$ for given infinitesimals $$v=\dfrac{\partial}{\partial x}$$ and $$w=x\dfrac{\partial}{\partial t}$$ I know how to calculate the commutator by ...
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1answer
26 views

Calculate the Area of Toroidal

i need help with the integral of this function. $ f(x,y)=\left( x-b \right) ^{2}+{y}^{2}={a}^{2}$ Note: $0 < a < b$ I know the graphics of this function is this ...
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1answer
38 views

Some frames are missing part of a surface in Maple $\texttt{implicitplot3d}$ animation

I want to create an animation of a surface when some parameter is changing, using for loop in maple to create a sequence of frames and they display them as sequence of plots. I was able to obtain an ...
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1answer
24 views

How to plot a Weierstrass function in Maple?

I'm attempting to get a good approximation of a Weierstrass function using Maple, but I have very little background in the matter. So far, I can get an approximation of ...
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1answer
21 views

Evaluating large expression with differential equations constraints

Consider the following lagrangian for a system, with $\theta$ and $r$ being the system coordinates: $L = 2m\dot{r}^2+\frac{1}{2}mr^2\dot\theta^2-gmr(3-\cos\theta)$ Which gives us the following ...
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34 views

Maple to solve differential equations

Suppose that a hole is now drilled directly from the surface of the Earth at the North Pole, all the way through the centre to the surface at the South Pole. A particle of mass m is dropped into this ...
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1answer
36 views

Formal expansion of matrices using Maple or Mathematica

I'd like to evaluate some powers of sum of matrices, say I would like to evaluate $\left(A+B\right)^{n}$ with $A$ and $B$ some matrices. Since I'd like to go to high order, I'd like to use Maple or ...
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1answer
21 views

How can I get a list of large numbers in decimal form in maple?

due to this command "For i from X to XX do x*y end do ", I need to make a list of numbers. Since "x" and "y" are so large maple gives me the list of numbers in scientific format. But I need to get ...
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2answers
26 views

How to test qualities about a number's prime factorization in maple?

I'm trying to write a code to test the following properties of a composite number $n$. To be more specific, for a given $n$ from (say) 200-300, I want to check if $n$ satisfies any of the following: ...
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1answer
17 views

How to plot two functions together in Maple

I'm given two functions (a surface and a tangent plane), and I am required to plot them together in the same graph in Maple. The surface is $$x^2y^2+y^2z^2+z^2x^2=15$$ and the tangent plane is ...
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1answer
10 views

Plotting surface within a box in Maple

I'm given a surface $$S=x^2y^2+x^2z^2+y^2z^2=9$$ and I am being asked to plot the part of this surface which lies within a box with the dimensions $$[-10,10] \times [-10,10] \times [-10,10]$$ I ...
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0answers
19 views

Solving for critical points and classification using Maple

I am trying to help a friend on an assignment using Maple. The question gives a function $$f(x,y,z)= x+\frac{y^2}{4(x-5)}+\frac{z^2}{y-3}+\frac{2}{z+5}$$ and asks to find and classify the critical ...
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0answers
30 views

Finding potential for vector field and compute line integral using Maple

I am given a question to be solved on Maple which gives me a vector field $$\vec{F}(x, y, z)=\left \langle \frac{y}{1+x^2y^2}, \frac{x}{1+x^2y^2}+\frac{z}{\sqrt(1-y^2z^2)}, ...
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1answer
29 views

Understanding how to use implicitdiff command in Maple 17

I am given a system $$\left\{\begin{matrix}xy^2+zu+v^2=3 \\ x^3z+2y-uv=2 \\ xu+yv-xyz=1 \end{matrix}\right.$$ which defines x, y, z as functions of (u,v) around (1, 1, 1, 1, 1). I've been asked to ...
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1answer
36 views

Trouble Plotting Mobius Strip in Maple 17

I'm quite new to Maple, so forgive me if this question seems a little trivial. I'm trying to plot a Mobius strip with the parametrization $$\left\{\begin{matrix} [1+tcos(s)]cos(2s)\\ ...
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1answer
26 views

Trouble plotting Maple space curve given a parametrization

I am being asked to plot a curve C with parametrization $$ r(t)=\left \langle \sin(mt)\cos(nt), \sin(mt)\sin(nt), \cos(mt) \right \rangle $$ with parameters of $$0\leq t\leq 2\pi$$ with integers ...
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2answers
37 views

EllipticF problem with Maple

When I solve for EllipticF[1.4, 0.9] with Mathematica or ellipticF(1.4, 0.9) with Mupad I get ...
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0answers
22 views

Solving A System Of ODE's On MAPLE 17

I Have the velocity fields for two vortices that are located at two different points ${\bf{x_1}}(x_1,y_1)$, ${\bf{x_2}}(x_2,y_2)$ $\vec{V_1} = (u_1,v_1) = \frac{\Gamma_1}{2\pi}\frac{1}{(x-x_1)^2 + ...
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1answer
25 views

How to plot the differential equation in spherical coordinates with maple

I want to plot the position of Spherical pendulum. there are differential equation for spherical pendulum in Spherical Coordinates. ...
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1answer
36 views

Finding EigenVectors for a Specific EigenValue in Maple

My matrix $M$ is huge, but I know that $1$ is an eigenvalue. I need to extract the corresponding eigenvector, which corresponds to this eigenvalue $\lambda=1$. There could be $1000$ other ...
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3answers
35 views

Maple - PDE substitution

Lets say I have the heat equation: $$u_t-u_{xx}=0.$$ I want to apply the following substitution to the heat equation in Maple. $$\zeta=t/x^2$$ $$u(x,t)=x^cF(t/x^2)=x^cF(\zeta)$$ How can i ...
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1answer
23 views

Convergence of a sequence in Maple $17$

I have the sequence $$X_n \rightarrow \frac{n^2}{n^2+31n+228}$$ With limit $X_0 = 1$ and I want to use an appropriate conditional statement in Maple $17$ to find N such that $\lvert Xn-X_0\rvert ...
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0answers
39 views

Maple Code for Ricci Flow

I am trying to generate a Maple Simulation for Ricci Flow assuming general Solids of Revolution and such. I assume that there is a surface with the following parametrization: ...
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1answer
30 views

(Maple) What is meant by “_the general term_” of an infinite series?

I'm trying to finish off my assignment (which is due tomorrow), and the last question asks me to do the following on Maple. Write a procedure in Maple which calculates, in floating point form, the ...
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0answers
56 views

Plotting Elliptic Curve over Finite Field in Maple

Not sure if I might be in the wrong section, but I am looking for guidance on how to plot an elliptic curve over a finite field in Maple. I have tried looking it up but only getting good results for ...
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1answer
20 views

Using Maple to find forward error and error magnification factor.

I am trying to use Maple to easily find a forward error and error magnification factor. Is there a specific command for this?? I know to find forward error the equation is ...
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1answer
49 views

Finding inverse polynomial in $\mathbb{F}_p[x]/(\psi)$ with maple

I need help with maple. I want to invert the polynomials $(x^{361}-x)^2$ and $4(x^3+2x+1)^{19}$ with the help of maple. The problem is that we are working in $\mathbb{F}_{19}[X]$ and modulo ...
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2answers
53 views

Maple code to solve a sequence problem

The Maple code below finds a $N$ such that $|x_n-l|<\varepsilon \: \: \forall n \geq N$ for a given $\varepsilon$ for the sequence $\mathbb{N}\to\mathbb{R}$ defined by $$n \mapsto ...
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2answers
145 views

Why doesn't $z^n\cdot\left(\frac{a+b}{z}\right)^n = (a+b)^n$ always hold?

When I entered is(z^n*((a+b)/z)^n = (a+b)^n); into Maple, the output was false and I guess Maple assumes that $a,b,n$ and $z$ ...
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0answers
27 views

Changing colors of entries of a matrix in Maple

I need to make distinction between certain entries of a matrix that are identical. The only practical solution I can think of is to use different color. Can someone please tell me how to modify the ...
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0answers
35 views

Simplify an equation with Maplesoft

I am haunted by an equation which I could simplify it with hand and it equals to $-i$ (complexe number). But, I don't know how to use maplesoft to simplify it. The equation takes the form of: ...
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2answers
60 views

Simplify an expression

I'm a maple newbie and I would like to simplify this expression as much as i can: $$g(q) = -8 \cdot 2^q + 8 \cdot 2^{\frac{3}{2}q} + 1$$ In such case i would like to write the expression like: ...
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1answer
47 views

Can maple solve a nonlinear system of equations?

I have a system of equations, see below. I wonder if it is possible to solve this for three unknowns $x,y, \gamma$ (the $c_i$ are known constants) in a computer program for ex. maple? I do not wanna ...
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1answer
39 views

How to simplify an equation and remove the denominator in Maple?

Say I have $$ f(x)=\frac{ax+b}{cx+d} $$ I wish to assgin $f(x)=1$ and simplify to have $$ ax+b-cx-d=0. $$ How may I do this in Maple? I tried simplify(f=1,x) ...
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1answer
113 views

moving frame with maple

I have already ask this question on stackoverflow, but since it concerns as mathematics than computer science, I ask it here too. I would like to make a classical computation using maple. I would ...
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1answer
36 views

Maple plot the $l^p$ balls: $\{(x,y) \mid |x|^p + |y|^p \le 1\}$ for $p = 1,…,10$

I have been asked to construct this plot in maple for an analysis assignment. I have been given no other instructions on how to do this. I am not familiar at all with defining or plotting these kinds ...
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1answer
33 views

Difference for summation in maple

When calculate the differential respect to $x$ with Maple, I got this result. $$\frac{d^4x^\lambda}{dx^4} = \frac{x^\lambda\cdot \lambda\cdot(\lambda-1)\cdot(\lambda-2)\cdot(\lambda-3)}{x^4}$$ Is ...
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0answers
18 views

What will be the maple code to find the values of the exponents of the given function?

I have a mathematical expression of the form $$f(m)=A-B*\left(\frac{m+1}{\psi}+\frac{K1*(1-\beta^{m+1})+K2*\alpha^{m-1}}{K3*\alpha^{m-1}}\right),$$ where $A,B,\psi,K1,K2,K3,\alpha,\beta$ are ...
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1answer
55 views

How to plot $(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln x}{2(1-x)}\right\}\,{\rm d}x\right)$?

I tried to plot following function using the Maple. But I can not observe the result. Can you help me? $$f(a)=(1+a)\left(1-\frac{a}{\sqrt{e}}\int_{0}^{1}x^{a-1}\exp\left\{-\frac{x\ln ...
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2answers
63 views

Exponential Integral difference between Maple and Matlab

I try to calculate this exponential integral: $$\int_0^1 \exp(\exp(-s))ds.$$ I obtained different results in Maple: and Matlab: Which is correct?
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3answers
44 views

How to solve the following system of partial differential equations?

I have a system of partial differential equations: \begin{align} & u(a,b,c) \frac{\partial y}{\partial c} = \frac{4}{3} ab, \\ & u(a,b,c) \frac{\partial y}{\partial b} = \frac{2}{3} ac + 2 ...
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1answer
32 views

Recursive Functions in Maple

I'm trying to input the following recursive function into Maple but am not sure how? The recursive equations are as follows: \begin{align} h(2n)&=h(n),\\ h(4n+1)&= h(2n+1)+h(n), \\ ...
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0answers
55 views

Maple and WolframAlpha return different results

I solved the integral of u/(1-u) by hand and found as result -ln(1-u) - u + constant. Now, when I evaluate this integral with WolframAlpha, I get the same result. But when I evaluate it with Maple, it ...
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2answers
54 views

how to find derivative

It is necessary for me to find $\Delta^2 u=u_{xxxx}+u_{yyyy}+2u_{xxyy}$ where $u=u(r,t).$ I tried by the following but got an error in Maple. $$x:=rcos(t);~y:=rsin(t);$$ then tried to find ...
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1answer
38 views

How to simplify expression through assumption of an equation

I want to use MAPLE, a software which is useful to solve symbolic equations. I am new to the MAPLE and I finally reached to implement what I wanted. I have a really difficult expression and I would ...
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1answer
35 views

Maple solving inequalities within a range

I have no troubles to solve an inequality using this command: solve(df(x) > 0, x) However, I need to solve it within a specified range (-1..1). Is that ...